Side konspekt 2020 / eksami kordamisküsimused
In other words, each pair of
transmitter-receiver antennas see a different wireless channel, for each of which the
Shannon bound still holds. The total capacity you can get is then the sum of the
capacity of each such channels. However, since the channels are not orthogonal and
they interfere one another, the aggregate capacity does not grow linearly with the
number of antenna pairs, but according to the formula written by Ahmad Bazzi
above
Instead of having the capacity in a SISO system being E{log(1 + |h|^2 * SNR )}
where h is the channel coefficient random variable and E is an expectation over h,
in the MIMO case you would have:
E{log(1 + H.H^h *SNR)} where H is an Nr x Nt matrix (Nr number of transmit
and Nt number of receive antennas) where each entry hij of the matrix H is the link
between receive antenna i and transmit antenna j, which is also a random variable